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Functional Question Higher (Statistics 10) For the week beginning ….

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An internet auction site has two identical cars for sale. Both cars are priced at £10 000. The price of each car is to be reduced each week until they are sold. The first car is reduced by 10% each week. The second car is reduced by £800 each week. Assuming that no-one buys the cars, after how many weeks will the second car be cheaper than the first? You must show all your working. (Total 4 marks)

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Car A 10% decrease for at least 2 values M1 – method mark 9000, 8100, 7290, 6561, 5904.90, 5314.41 Allow rounding to nearest £ (£5905, £5315) Must be accurate for as many values as needed to compare providing at least 3 shown. A1 - Accuracy marks are awarded when following on from a correct method Car B 9200, 8400, 7600, 6800, 6000, 5200 B1 for 9200 etc... for as many correct values as needed to make a comparison providing at least 3 (9200, 8400, 7600,.. ) are shown. B1 - Marks awarded independent of method 6 weeks Accept between 5 and 6 weeks. Last B1 ft providing M1 awarded and B1 awarded. B1 Marks awarded independent of method [4]

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